Answer:
2 Gallons
Step-by-step explanation:
1 Gallon = 4 quarts
There are 8 quarts, and 8 divided by 4 is 2.
2 Gallons.
Answer:
The answer is: Number of adult tickets: 20. Number kid's tickets: 50.
Step-by-step explanation:
5.50a + 4.00k = 310
a + k = 70
a = 70 - k
5.50(70-k) + 4.00k = 3.10
385 - 5.5k + 4k = 310
-1.5k = 310 - 385
-1.5k = -75
k = -75 / -1.5 = 50
Find the number of adult tickets:
a + 50 = 70
a = 20
Proof:
5.50(20) + 4.00(50) = 3.10
110 + 200 = $310
We have one of those equations already solved for y, so let's sub that one into the other one and solve the equation in terms of x only:
. We will simplify that and at the same time bring the 6 over by subtraction to get a polynomial set to equal 0 that we can factor.
. We will factor that to get (x-3)(x+1) for x values of x = 3 and x = -1. a above is the choice that has the x values we need, -1 and 3.
4/ 6 or in simplest, 2/3. I know this bc there's only 4 numbers greater than 2. there for me the fraction would be 4/6 the six for the sides and the four for the number of aides greater than two. :)))
First one: x would be equal to 8 because the angles opposite sides 8 and x are congruent (isosceles triangle)
Second one: x is 75° because the sides opposite x and 75° are congruent (isosceles triangle)
Third one: This is an equilateral triangle since all the sides are equal. In equilateral triangles, every angle is 60° because 60*3=180. So both x and y are 60°
Fourth one: We know that all three angles in a triangle add to 180°. And we also know that the last unlabled angle would be equal to x because this is an isosceles triangle. So we can write
x+x+38=180 (combine like terms)
2x+38=180 (subtract 38 from both sides)
2x=142 (divide both sides by 2)
x=71°
Fifth one: This is an equilateral triangle so all the angles are congruent and add to 180. So we can write
3(4x+12)=180 (distribute)
12x+36=180 (subtract 36 from both sides)
12x=144 (divide both sides by 12)
x=12
Last one: Since the two given angles are opposite congruent sides, these angles are equal. Therefore, we can just make each of these angles 3x to solve for x first. And since we know the last angle is 90° we can write
3x+3x+90=180 (combine like terms)
6x+90=180 (subtract 90 from both sides)
6x=90 (divide both sides by 6)
x=15
So the angle 3x would be 3*15 or 45.
So we can set 45 equal to y+7 and solve for y
y+7=45 (subtract 7 from both sides)
y=38
Hope this helps<span />
